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Topics in Ultracold Atomic Gases: Strong Interactions and Quantum
Topics in Ultracold Atomic Gases: Strong Interactions and Quantum

Disorder(Strength(δ2( Energy( Density( Ext,(( Para( ( MBL( Para
Disorder(Strength(δ2( Energy( Density( Ext,(( Para( ( MBL( Para

... librate under the dynamics due to its own Hamiltonian, to the ‘glassy’ localized phase where the isolated quantum system can remain far from thermal equilibrium forever. In a related diagnostic, MBL eigenstates generally display an ‘area law’ entanglement entropy [21], unlike thermal eigenstates whe ...
Phases of correlated spinless fermions on the honeycomb lattice
Phases of correlated spinless fermions on the honeycomb lattice

Lecture Notes in Quantum Mechanics Doron Cohen
Lecture Notes in Quantum Mechanics Doron Cohen

... [4] A. Messiah, Quantum Mechanics. [for the graduates] The major attempt in this set of lectures was to give a self contained presentation of quantum mechanics, which is not based on the historical ”quantization” approach. The main inspiration comes from Ref.[3] and Ref.[1]. The challenge was to fin ...
entanglement properties of quantum many
entanglement properties of quantum many

... Exchange correlations in Fermi and Bose ground states do not contribute to entanglement as a useful resource [16-19]; accordingly, a state described by a single Slater determinant or permanent is to be considered separable. Thus, in examining the entanglement of a many-body wave function, one is in ...
Questions from past exam papers. 1. (a) (8 marks) The Hamiltonian
Questions from past exam papers. 1. (a) (8 marks) The Hamiltonian

... and describe how one can bring the oscillator to a stationary state (energy eigenstate). (c) (6 marks) For the state at time t = T , what is the probability of finding the oscillator in the ground state? (d) (7 marks) If we perform a measurement on the position of the oscillator at time t = T , what ...
91, 053630 (2015).
91, 053630 (2015).

... Raman transitions [41] enables the direct observation and manipulation of SLM coupled Bose-Einstein condensates (BECs) and degenerate Fermi gases. In spin-orbit coupled BECs, interaction effects are expected to be essential for newly emergent quantum phases [16]. However, compared with the typical k ...
Characterizing Molecular Interactions in Chemical Systems
Characterizing Molecular Interactions in Chemical Systems

... forming the cycle. The circular structure shown in Fig. 2(a) is not captured by the flow while it is crucial for the analysis of attractive and repulsive interactions. A differentiation of these interactions solely based on the density ρ is not possible, in general. To compensate therefore, a direct ...
Lecture Notes in Quantum Mechanics Doron Cohen
Lecture Notes in Quantum Mechanics Doron Cohen

... The major attempt in this set of lectures was to give a self contained presentation of quantum mechanics, which is not based on the historical ”quantization” approach. The main inspiration comes from Ref.[3] and Ref.[1]. The challenge was to find a compromise between the over-heuristic approach of R ...
Multiphoton localization and propagating quantum gap solitons in a
Multiphoton localization and propagating quantum gap solitons in a

... Our results demonstrate a clear distinction, at the quantum level, between fermionic gap systems (such as electronic semiconductors) and bosonic gap systems. In a semiconductor, propagation within the energy gap is strictly forbidden. In the bosonic gap, however, certain nonclassical many-body gap s ...
Single-Photon Bus between Spin-Wave Quantum Memories.
Single-Photon Bus between Spin-Wave Quantum Memories.

... we transfer the magnon (or, if we choose, a portion of it) to macro-atom B while suppressing the population of the photonic mode by means of quantum interference (adiabatic dark-state transfer)24–26 . Successful transfer is verified by subsequent ondemand superradiant conversion of the magnon now st ...
An N-atom Collective State Atomic Interferometer with Ultra
An N-atom Collective State Atomic Interferometer with Ultra

Comprehensive analysis of electron correlations in
Comprehensive analysis of electron correlations in

... those of a two-electron atom? In what way is the description to be modified for doubly excited states of a many-electron atom? Second, can one make the next step to understand the correlation of triply excited states? Both questions can be addressed by studying the doubly and triply excited states o ...
Learning Invariant Representations of Molecules
Learning Invariant Representations of Molecules

Measurement of the lithium 10p fine structure interval and absolute
Measurement of the lithium 10p fine structure interval and absolute

Microscopic theory for quantum mirages in quantum corrals D. Porras, J. Ferna´ndez-Rossier,
Microscopic theory for quantum mirages in quantum corrals D. Porras, J. Ferna´ndez-Rossier,

... Scanning tunneling microscopy 共STM兲 allows the manipulation of single atoms on top of a surface1 as well as the construction of quantum structures of arbitrary shape. Additionally, the differential conductance, G(V)⬅dI/dV, is proportional to the local density of states 共LDOS兲 of the surface spot bel ...
Matrix product states for the absolute beginner
Matrix product states for the absolute beginner

Coupling a single electron to a Bose
Coupling a single electron to a Bose

Addressing of individual atoms in an optical dipole trap
Addressing of individual atoms in an optical dipole trap

Presentation slides
Presentation slides

... Assume small temperature: T  ∆ we have small number of excitations It can be shown[1] that S matrix for quasi-particle collision is just −1 We can visualize C(x, t) = he−iHt n0 (x, 0)eiHt n̂(0, 0)i as ...
Efimov Trimers under Strong Confinement
Efimov Trimers under Strong Confinement

... the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. ...
Orientation of Nd3+ dipoles in yttrium aluminum garnet: Experiment
Orientation of Nd3+ dipoles in yttrium aluminum garnet: Experiment

view as pdf
view as pdf

... (Tc as function of doping, T, …) • already: useful as test for theories! see also: De Leo, Kollath, Georges, Ferrero, Parcollet, PRL 2008 Snoek, Titvinidze, Toke, Byczuk, Hofstetter, New J. Phys. 2008 Scarola, Pollet, Oitmaa, Troyer, PRL 2009, ...
New Concepts in Inverse Quantum Chemistry - ETH E
New Concepts in Inverse Quantum Chemistry - ETH E

... defined as an assembly of atomic nuclei fixed in space, is a direct consequence of this approximation. For a given assembly of atomic nuclei and electrons, the nonrelativistic electronic Hamiltonian is unequivocally defined. The methods mentioned above aim at an approximate solution of the electroni ...
Chapter 3 Chirality - diss.fu
Chapter 3 Chirality - diss.fu

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Tight binding

In solid-state physics, the tight-binding model (or TB model) is an approach to the calculation of electronic band structure using an approximate set of wave functions based upon superposition of wave functions for isolated atoms located at each atomic site. The method is closely related to the LCAO method used in chemistry. Tight-binding models are applied to a wide variety of solids. The model gives good qualitative results in many cases and can be combined with other models that give better results where the tight-binding model fails. Though the tight-binding model is a one-electron model, the model also provides a basis for more advanced calculations like the calculation of surface states and application to various kinds of many-body problem and quasiparticle calculations.
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